Thermodynamics of (d+1)-dimensional NUT-charged AdS spacetimes

Abstract

We consider the thermodynamic properties of (d + 1)-dimensional spacetimes with NUT charges. Such spacetimes are asymptotically locally anti de Sitter (or flat), with non-trivial topology in their spatial sections, and can have fixed point sets of the Euclidean time symmetry that are either (d − 1)-dimensional (called "bolts") or of lower dimensionality (pure "NUTs"). We compute the free energy, conserved mass, and entropy for 4, 6, 8 and 10 dimensions for each, using both Noether charge methods and the AdS/CFT-inspired counterterm approach. We then generalize these results to arbitrary dimensionality. We find in 4k + 2 dimensions that there are no regions in parameter space in the pure NUT case for which the entropy and specific heat are both positive, and so all such spacetimes are thermodynamically unstable. For the pure NUT case in 4k dimensions a region of stability exists in parameter space that decreases in size with increasing dimensionality. All bolt cases have some region of parameter space for which thermodynamic stability can be realized.

Entropic N-bound and maximal mass conjecture violations in four-dimensional Taub-Bolt(NUT)-dS spacetimes

“…Turning next to the counter-term contributions, which can be found from (3.13) and (3.14), it can be shown, using exactly the same arguments employed in [19], that only the first term in the counter-term action (2.9) contributes a finite term -all the other terms will only cancel the divergences in the bulk and boundary actions. Hence, the finite contribution at future infinity from the counter-term action is…”

Holographic perfect fluidity, Cotton energy-momentum duality and transport properties

“…Nevertheless, global thermodynamics describing the black-hole geometry will depend on the choice of boundary geometry. The thermodynamic charges can be constructed by suitably integrating T µν over the boundary manifold [47]. In fact some of the geometric parameters will be related to conserved charges -like a will be related to the angular momentum.…”

The disjointed thermodynamics of rotating black holes with a NUT twist

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“…Although the simple derivations rehearsed above take as their point of departure the Gibbs state (or in other words the canonical ensemble), the resulting relations among the thermodynamic variables Ψ, S, M, J, β, Ω (or Ω), can be valid more generally, and we will assume that this is the case, specifically, for the relations (4), (6), (7), (10) and (11). (Remember in this connection that a canonical ensemble does not adequately describe systems in which two different thermodynamic phases are present simultaneously, nor can it be taken literally for systems containing black holes.…”